On the strong comparison principle for degenerate elliptic problems with convection

The weak and strong comparison principles (WCP and SCP, respectively) are investigated for quasilinear elliptic boundary value problems with the p-Laplacian in one space dimension, Δp(u)=defddx(|u′|p−2u′). We treat the “degenerate” case of 2

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Veröffentlicht in:	Journal of mathematical analysis and applications 2022-10, Vol.514 (1), p.126267, Article 126267
Hauptverfasser:	Benedikt, Jiří, Girg, Petr, Kotrla, Lukáš, Takáč, Peter
Format:	Artikel
Sprache:	eng
Schlagworte:	Degenerate p-Laplacian Examples and counterexamples to strong comparison principle Hopf's boundary point lemma Quasilinear parabolic equation
Online-Zugang:	Volltext
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Zusammenfassung:	The weak and strong comparison principles (WCP and SCP, respectively) are investigated for quasilinear elliptic boundary value problems with the p-Laplacian in one space dimension, Δp(u)=defddx(\|u′\|p−2u′). We treat the “degenerate” case of 2
ISSN:	0022-247X 1096-0813
DOI:	10.1016/j.jmaa.2022.126267